PTOPO: A Maple package for the topology of parametric curves

被引：0
|
作者：
Katsamaki, Christina [1 ,2 ]
Rouillier, Fabrice [1 ,2 ]
Tsigaridas, Elias [1 ,2 ]
Zafeirakopoulos, Zafeirakis [3 ]
机构：
[1] Sorbonne Univ, Inria Paris, IMJ PRG, F-75005 Paris, France
[2] Paris Univ, F-75005 Paris, France
[3] Gebze Tech Univ, Kocaeli, Turkey
来源：
ACM COMMUNICATIONS IN COMPUTER ALGEBRA | 2020年 / 54卷 / 02期
关键词：
D O I：
10.1145/3427218.3427223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
PTOPO is a maple package computing the topology and describing the geometry of a parametric plane curve. The algorithm behind PTOPO constructs an abstract graph that is isotopic to the curve. PTOPO exploits the benefits of the parametric representation and performs all computations in the parameter space using exact computing. PTOPO computes the topology and visualizes the curve in less than a second for most examples in the literature. [GRAPHICS]
引用
收藏
页码：49 / 52
页数：4
相关论文
共 50 条
  • [21] MultInt, a MAPLE package for multiple integration by the WZ method
    Tefera, A
    JOURNAL OF SYMBOLIC COMPUTATION, 2002, 34 (05) : 329 - 353
  • [22] LANGAGE: A maple package for automaton characterization of regular languages
    Caron, P
    THEORETICAL COMPUTER SCIENCE, 2000, 231 (01) : 5 - 15
  • [23] A maple® package for the calculus of variations based on jet manifolds
    Ennsbrunner, H
    Schlacher, K
    MATHEMATICAL AND COMPUTER MODELLING OF DYNAMICAL SYSTEMS, 2005, 11 (01) : 61 - 77
  • [24] [SADE] a Maple package for the symmetry analysis of differential equations
    Rocha Filho, Tarcisio M.
    Figueiredo, Annibal
    COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (02) : 467 - 476
  • [25] A maple-based homotopic circuit simulation package
    Sarmiento-Reyes, A
    Murphy-Arteaga, RS
    Vázquez-Leal, H
    PROCEEDINGS OF THE 44TH IEEE 2001 MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1 AND 2, 2001, : 33 - 36
  • [26] LANGAGE: A maple package for automaton characterization of regular languages
    Caron, P
    AUTOMATA IMPLEMENTATION, 1998, 1436 : 46 - 55
  • [27] Surfing on curved surfaces-The Maple Package Surf
    Piropo, Marcelo
    Moraes, Fernando
    Santos, Fernando A. N.
    COMPUTER PHYSICS COMMUNICATIONS, 2020, 249
  • [28] Maple's Quantum Chemistry Package in the Chemistry Classroom
    Montgomery, Jason M.
    Mazziotti, David A.
    JOURNAL OF CHEMICAL EDUCATION, 2020, 97 (10) : 3658 - 3666
  • [29] Mackendrick: A maple package oriented to symbolic computational epidemiology
    Ospina, Juan
    Hincapie, Doracelly
    COMPUTATIONAL SCIENCE - ICCS 2006, PT 1, PROCEEDINGS, 2006, 3991 : 920 - 923
  • [30] An Integrated Maple Package for Algebraic Interval Neutrosophic Matrices
    Broumi S.
    Zeina M.B.
    Abobala M.
    Neutrosophic Sets and Systems, 2023, 60 : 175 - 194
12345